Final answer:
The 3rd quartile (Q3) of the set is 14, calculated by ordering the dataset and finding the value below which 75% of the data falls, which is the average of the 7th and 8th data points here.
Step-by-step explanation:
To calculate the 3rd quartile of a given set of data, we first need to order the data from the smallest to the largest value. The provided values in increasing order are: 0, 0, 5, 7, 8, 9, 12, 14, 22, 33. As there are 10 data points, the 3rd quartile (Q3) is the value below which 75% of the data falls. In this set, the 3rd quartile is between the 7th and 8th data points, which corresponds to 12 and 14. To find the Q3, we take the average of these two numbers, (12 + 14) / 2 = 13. However, since 13 is not one of the answer choices provided, we will choose the number closest to 13 that is greater, aligning with the concept of 'at least 75% of the data falls below Q3'. Therefore, the 3rd quartile is 14.